SOLUTION: Please help me solve for d in the equation d+7=3/2d+5 I am not sure exactly what to multiply by the LCD to solve. Is 2 the correct LCD?

Algebra ->  Equations -> SOLUTION: Please help me solve for d in the equation d+7=3/2d+5 I am not sure exactly what to multiply by the LCD to solve. Is 2 the correct LCD?      Log On


   

Question 227688: Please help me solve for d in the equation d+7=3/2d+5
I am not sure exactly what to multiply by the LCD to solve. Is 2 the correct LCD?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. The LCD is 2.




d%2B7=%283%2F2%29d%2B5 Start with the given equation.


2%28d%29%2B2%287%29=cross%282%29%28%283%2Fcross%282%29%29d%29%2B2%285%29 Multiply EVERY term by the LCD 2 to clear any fractions.


2d%2B14=3d%2B10 Multiply and simplify.


2d=3d%2B10-14 Subtract 14 from both sides.


2d-3d=10-14 Subtract 3d from both sides.


-d=10-14 Combine like terms on the left side.


-d=-4 Combine like terms on the right side.


d=%28-4%29%2F%28-1%29 Divide both sides by -1 to isolate d.


d=4 Reduce.


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Answer:

So the solution is d=4